{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"S+P Week 2 Lesson 2.ipynb","version":"0.3.2","provenance":[{"file_id":"1w4NClM1RKEfzmeK8uVGrTtxPt0NJmUhf","timestamp":1561778911582}]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"code","metadata":{"id":"D1J15Vh_1Jih","colab_type":"code","colab":{}},"source":["!pip install tf-nightly-2.0-preview\n"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"BOjujz601HcS","colab_type":"code","outputId":"713999e3-89ef-4226-b6ec-763738a499c6","executionInfo":{"status":"ok","timestamp":1561953908172,"user_tz":420,"elapsed":1748,"user":{"displayName":"Laurence Moroney","photoUrl":"https://lh4.googleusercontent.com/-wUzpekukCVw/AAAAAAAAAAI/AAAAAAAAAHw/pQPstOOJqqE/s64/photo.jpg","userId":"17858265307580721507"}},"colab":{"base_uri":"https://localhost:8080/","height":34}},"source":["import tensorflow as tf\n","import numpy as np\n","import matplotlib.pyplot as plt\n","print(tf.__version__)"],"execution_count":3,"outputs":[{"output_type":"stream","text":["2.0.0-beta1\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab_type":"code","id":"Zswl7jRtGzkk","colab":{}},"source":["def plot_series(time, series, format=\"-\", start=0, end=None):\n","    plt.plot(time[start:end], series[start:end], format)\n","    plt.xlabel(\"Time\")\n","    plt.ylabel(\"Value\")\n","    plt.grid(True)\n","\n","def trend(time, slope=0):\n","    return slope * time\n","\n","def seasonal_pattern(season_time):\n","    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n","    return np.where(season_time < 0.4,\n","                    np.cos(season_time * 2 * np.pi),\n","                    1 / np.exp(3 * season_time))\n","\n","def seasonality(time, period, amplitude=1, phase=0):\n","    \"\"\"Repeats the same pattern at each period\"\"\"\n","    season_time = ((time + phase) % period) / period\n","    return amplitude * seasonal_pattern(season_time)\n","\n","def noise(time, noise_level=1, seed=None):\n","    rnd = np.random.RandomState(seed)\n","    return rnd.randn(len(time)) * noise_level\n","\n","time = np.arange(4 * 365 + 1, dtype=\"float32\")\n","baseline = 10\n","series = trend(time, 0.1)  \n","baseline = 10\n","amplitude = 40\n","slope = 0.05\n","noise_level = 5\n","\n","# Create the series\n","series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n","# Update with noise\n","series += noise(time, noise_level, seed=42)\n","\n","split_time = 1000\n","time_train = time[:split_time]\n","x_train = series[:split_time]\n","time_valid = time[split_time:]\n","x_valid = series[split_time:]\n","\n","window_size = 20\n","batch_size = 32\n","shuffle_buffer_size = 1000"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"4sTTIOCbyShY","colab_type":"code","colab":{}},"source":["def windowed_dataset(series, window_size, batch_size, shuffle_buffer):\n","  dataset = tf.data.Dataset.from_tensor_slices(series)\n","  dataset = dataset.window(window_size + 1, shift=1, drop_remainder=True)\n","  dataset = dataset.flat_map(lambda window: window.batch(window_size + 1))\n","  dataset = dataset.shuffle(shuffle_buffer).map(lambda window: (window[:-1], window[-1]))\n","  dataset = dataset.batch(batch_size).prefetch(1)\n","  return dataset"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"ou-WmE2AXu6B","colab_type":"code","outputId":"e6cd149b-26bb-4b36-ab54-681da29275b1","executionInfo":{"status":"ok","timestamp":1561953926870,"user_tz":420,"elapsed":14029,"user":{"displayName":"Laurence Moroney","photoUrl":"https://lh4.googleusercontent.com/-wUzpekukCVw/AAAAAAAAAAI/AAAAAAAAAHw/pQPstOOJqqE/s64/photo.jpg","userId":"17858265307580721507"}},"colab":{"base_uri":"https://localhost:8080/","height":374}},"source":["dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n","print(dataset)\n","l0 = tf.keras.layers.Dense(1, input_shape=[window_size])\n","model = tf.keras.models.Sequential([l0])\n","\n","\n","model.compile(loss=\"mse\", optimizer=tf.keras.optimizers.SGD(lr=1e-6, momentum=0.9))\n","model.fit(dataset,epochs=100,verbose=0)\n","\n","print(\"Layer weights {}\".format(l0.get_weights()))\n","\n"],"execution_count":6,"outputs":[{"output_type":"stream","text":["<PrefetchDataset shapes: ((None, None), (None,)), types: (tf.float32, tf.float32)>\n","Layer weights [array([[-0.05529308],\n","       [ 0.00947868],\n","       [ 0.05041581],\n","       [-0.00872855],\n","       [-0.02697379],\n","       [ 0.04566243],\n","       [-0.00740558],\n","       [ 0.00707938],\n","       [-0.00853621],\n","       [ 0.01960586],\n","       [-0.03908759],\n","       [-0.0327211 ],\n","       [ 0.03778784],\n","       [ 0.07210432],\n","       [-0.05659156],\n","       [ 0.09618359],\n","       [-0.01626248],\n","       [ 0.22845924],\n","       [ 0.17617637],\n","       [ 0.5097049 ]], dtype=float32), array([0.01695044], dtype=float32)]\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"-gtVJuLVxR-M","colab_type":"code","outputId":"d8f583ad-2a35-4473-818a-d505d598e28a","executionInfo":{"status":"ok","timestamp":1561953931622,"user_tz":420,"elapsed":2064,"user":{"displayName":"Laurence Moroney","photoUrl":"https://lh4.googleusercontent.com/-wUzpekukCVw/AAAAAAAAAAI/AAAAAAAAAHw/pQPstOOJqqE/s64/photo.jpg","userId":"17858265307580721507"}},"colab":{"base_uri":"https://localhost:8080/","height":409}},"source":["forecast = []\n","\n","for time in range(len(series) - window_size):\n","  forecast.append(model.predict(series[time:time + window_size][np.newaxis]))\n","\n","forecast = forecast[split_time-window_size:]\n","results = np.array(forecast)[:, 0, 0]\n","\n","\n","plt.figure(figsize=(10, 6))\n","\n","plot_series(time_valid, x_valid)\n","plot_series(time_valid, results)"],"execution_count":7,"outputs":[{"output_type":"stream","text":["[None]\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAmcAAAF3CAYAAADgjOwXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPNPGjZuhu5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+G81e38+13/ATt2dSJdw6JnLNsyibj2KQdi2zKOGf3Pz3CT3z8IXSqFXbd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\nP2/a9mUUEr42AAAAAElFTkSuQmCC\n","text/plain":["<Figure size 720x432 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab_type":"code","outputId":"411000e0-90d7-44c8-d21d-2ecce50089c0","executionInfo":{"status":"ok","timestamp":1561834481096,"user_tz":420,"elapsed":392,"user":{"displayName":"Laurence Moroney","photoUrl":"https://lh4.googleusercontent.com/-wUzpekukCVw/AAAAAAAAAAI/AAAAAAAAAHw/pQPstOOJqqE/s64/photo.jpg","userId":"17858265307580721507"}},"id":"hR2BO0Dai_ZT","colab":{"base_uri":"https://localhost:8080/","height":34}},"source":["tf.keras.metrics.mean_absolute_error(x_valid, results).numpy()"],"execution_count":0,"outputs":[{"output_type":"execute_result","data":{"text/plain":["5.111128"]},"metadata":{"tags":[]},"execution_count":73}]}]}